question 4

\fQuestion 4. A Financial Analyst is studying the effects of COVID on the stock market. They randomly pick an SR5 sample of stocks from each of 4 economic industries which they believe represent the stock market: Finance [F], Services {5}, Technology {T}, and Manufacturing {M}. The industries comprise 10% {F}, 50% (5}, 35% {M} and 5% {T} of the stocks in the market. They record the percent change in the stock since the start of COVID, and their last quarterly dividend. You may assume that in the population there are a total of 89 {F}, 45 (T), 312 {M} and 445 {5} stocks. %Change DiuidendtSIshare} Industry 412% 0.05 F -5% 0.01 F 4.1% 0.75 F Part Di. Build a 90% condence interval for the total number of Manufacturing stocks that do not offer dividends. Part Dii. How many Manufacturing stocks should we sample to be accurate to within 10 units in total for the number of Manufacturing stocks that do not offer dividends, 19 times out of 20